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av_fq_isog • Show schema
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{'abvar_count': 41, 'abvar_counts': [41, 3649, 134111, 5652301, 278689136, 13833683761, 678256099331, 33224728332789, 1628615147318669, 79803632915463424], 'abvar_counts_str': '41 3649 134111 5652301 278689136 13833683761 678256099331 33224728332789 1628615147318669 79803632915463424 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.335255265574692, 0.477002866157943], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 5, 'curve_counts': [5, 71, 389, 2355, 16580, 117587, 823583, 5763379, 40358603, 282515486], 'curve_counts_str': '5 71 389 2355 16580 117587 823583 5763379 40358603 282515486 ', 'curves': ['y^2=3*x^6+x^4+4*x^3+5*x^2+4*x+4', 'y^2=3*x^6+2*x^5+3*x^4+3*x^3+4*x^2+x'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.14725.1'], 'geometric_splitting_field': '4.0.14725.1', 'geometric_splitting_polynomials': [[41, -4, 12, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.7.ad_p', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.14725.1'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2]], 'poly': [1, -3, 15, -21, 49], 'poly_str': '1 -3 15 -21 49 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 7, 'real_poly': [1, -3, 1], 'simple_distinct': ['2.7.ad_p'], 'simple_factors': ['2.7.ad_pA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 2, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.14725.1', 'splitting_polynomials': [[41, -4, 12, -1, 1]], 'twist_count': 2, 'twists': [['2.7.d_p', '2.49.v_hp', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 2, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 589, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.7.ad_p', 'extension_degree': 1, 'extension_label': '2.7.ad_p', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.14725.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.7.ad_p', 'galois_group': '4T3', 'places': [['8/7', '12/7', '0', '1/7'], ['6', '1', '0', '0']]}
